Mathematically, the CRC value corresponding to a given file is defined by the following procedure:

1.
The n bits to be evaluated are considered to be the coefficients of a mod 2 polynomial M(x) of degree n-1. These n bits
are the bits from the file, with the most significant bit being the most significant bit of the first octet of the file and the last bit being the least significant bit of the last octet, padded with zero bits (if necessary) to achieve an integral number of octets, followed by one or more octets representing
the length of the file as a binary value, least significant octet first. The smallest number of octets capable of representing this integer is used.

OPERANDS

The following operand is supported:

file
A path name of a file to be checked. If no file operands are specified, the standard input is used.

USAGE

The cksum command is typically used to quickly compare a suspect file against a trusted version of the same, such as to ensure that files transmitted over noisy media arrive intact. However, this comparison cannot be considered cryptographically secure. The chances of a damaged
file producing the same CRC as the original are astronomically small; deliberate deception is difficult, but probably not impossible.

Although input files to cksum can be any type, the results need not be what would be expected on character special device files. Since this document does not specify the block size used when doing input, checksums of character special files need not process all of the data in
those files.

The algorithm is expressed in terms of a bitstream divided into octets. If a file is transmitted between two systems and undergoes any data transformation (such as moving 8-bit characters into 9-bit bytes or changing "Little Endian" byte ordering to "Big Endian"), identical
CRC values cannot be expected. Implementations performing such transformations may extend cksum to handle such situations.

See largefile(5) for the description of the behavior of cksum when encountering files greater than or equal to 2 Gbyte ( 2
**31
bytes).

ENVIRONMENT VARIABLES

See environ(5) for descriptions of the following environment variables that affect the execution of cksum: LANG, LC_ALL, LC_CTYPE, LC_MESSAGES, and NLSPATH.